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Finding the Fourth Proportional to 170.19, 256.56 and 159.03

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Solution

The fourth proportional to 170.19, 256.56 and 159.03 is: 239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.19 : 256.56 = 159.03 : x
  2. Step 2: Convert to fraction form
    170.19/256.56 = 159.03/x
  3. Step 3: Cross multiply
    170.19x = 256.56 × 159.03
  4. Step 4: Simplify right side
    170.19x = 40,800.74
  5. Step 5: Solve for x
    x = 40,800.74/170.19
  6. Step 6: Final answer
    x = 239.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.